LCM of 504, 668, 324, 305, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 668, 324, 305, 976 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 504, 668, 324, 305, 976. So, keep reading to learn more.
Given numbers are 504,668,324,305,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,668,324,305,976 is 462082320.
Find LCM of 504,668,324,305,976 with Prime Factorization
| 2 | 504, 668, 324, 305, 976 |
| 2 | 252, 334, 162, 305, 488 |
| 2 | 126, 167, 81, 305, 244 |
| 3 | 63, 167, 81, 305, 122 |
| 3 | 21, 167, 27, 305, 122 |
| 61 | 7, 167, 9, 305, 122 |
| 7, 167, 9, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 61 x 7 x 167 x 9 x 5 x 2 = 462082320
Therefore, the lowest common multiple of 504,668,324,305,976 is 462082320.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
504 x 668 x 324 x 305 x 976 = 32471448791040
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
668 : 1, 2, 4, 167, 334, 668
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
305 : 1, 5, 61, 305
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,668,324,305,976, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
668:2x 2x 167
324:2x 2x 3x 3x 3x 3
305:5x 61
976:2x 2x 2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3x 3x 61 = 70272
Therefore, the value for common factors is 70272.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 32471448791040/(1x70272)
LCM = 32471448791040/70272
LCM = 462082320
Thus, we can understand that the LCM of 504,668,324,305,976 is 462082320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 504, 668, 324, 305, 976
1. What is the LCM of 504, 668, 324, 305, 976?
Answer: LCM of 504, 668, 324, 305, 976 is 462082320.
2. How to calculate the LCM of 504, 668, 324, 305, 976?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 504, 668, 324, 305, 976.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.